THE PHYSICS OF CONTROLLED MOTION

Vibration is motion.
Resonance is timing.

Industrial vibration becomes useful when displacement, frequency, structure and process load are treated as one dynamic system. This page explains the concepts behind the RESONATOR approach.

ARA™ · mechanical architecture
ARA™ · mechanical architecture
01 / CORE LANGUAGE

Six concepts. One dynamic system.

These terms describe different parts of the same behaviour. Understanding the difference makes the RESONATOR principle easier to evaluate.

01

Vibration

Mechanical motion that repeats around an equilibrium position. It may be periodic, transient or irregular.

02

Oscillation

One repeating back-and-forth cycle of a variable such as displacement, velocity, pressure or force.

03

Amplitude

The maximum displacement from the equilibrium position. Low amplitude means small physical travel—not necessarily low acceleration or low force.

04

Frequency

The number of cycles per second, measured in hertz. One hertz equals one complete cycle every second.

05

Natural frequency

A frequency at which a structure or loaded system tends to oscillate when disturbed. Geometry, mass, stiffness and load all influence it.

06

Resonance

A strong response that occurs when repeated excitation aligns with a natural mode. Real response is limited by damping, mounting and process load.

02 / INTERACTIVE WAVE LAB

Change amplitude. Change frequency. See the difference.

This visualization slows the motion down so the relationship can be seen. It is conceptual and does not represent RVS™ operating values or product ratings.

Equilibrium
±A

Motion is visually exaggerated for explanation.

Period0.167 s
Relative acceleration1.00×

For sinusoidal motion, peak acceleration is proportional to A × f². Frequency therefore has a squared effect on acceleration.

03 / WHY HIGH FREQUENCY MATTERS

Small movement can still create intense mechanical action.

For an ideal sinusoidal displacement, acceleration grows with amplitude and with the square of frequency. Force then depends on the accelerated mass. This is the physical reason a high-frequency, low-amplitude system can produce substantial dynamic force without large travel.

x(t) = A sin(2πft)apeak = A(2πf)²F = m × a

These equations explain the physical relationship. Actual installed response depends on the device, compressed-air supply, mounting, structural modes, damping and material load.

LOW FREQUENCYFewer cycles

More time between force reversals.

HIGH FREQUENCYMore cycles

Rapid acceleration reversals with small displacement.

04 / INTERACTIVE RESONANCE RESPONSE

Move toward the system’s natural frequency.

OFF RESONANCE2.0× response
Illustrative resonance response curveSystem response rises as excitation approaches natural frequency and falls after moving above it.
Repeated input+System timing=Amplified response

Normalized illustration. A real resonance peak depends strongly on damping, geometry, mounting and load.

05 / RESONATOR OPERATING PRINCIPLE

From pneumatic input to a useful process response.

ARA™ is the architecture that generates and manages the excitation. RVS™ is the stationary machine that transfers it into the industrial structure.

01

Full-power start

When the pneumatic supply is opened under the defined operating setup, excitation begins immediately rather than slowly ramping through motor speed.

02

Repeated excitation

Rapid cycles transfer through the mounting interface into the machine, vessel, mould or process medium.

03

Resistance response

As the loaded system resists and changes, the dynamic response and audible excitation character change with it.

04

Stable endpoint

After process-specific validation, a stable and uniform tone can be used as an audible indication that the target vibration condition has been reached.

Important:

The sound is process feedback, not a universal automatic stop signal. The endpoint must be validated for each material, machine, mounting and operating condition.

06 / THE REAL SYSTEM

The machine is only one part of the vibration system.

The installed response is created by the complete chain: pneumatic supply, RESONATOR device, mounting, machine structure, process material and damping. Change any one of them and the useful operating point can change.

Air supply→ARA™→RVS™→Structure→Material→Process result
ENGINEERING VALIDATION

Turn the principle into a measurable result.

Define the process problem, establish a baseline and validate the complete installed system under representative operating conditions.

Explore the connected process

Follow the material through your process. These application guides explain the role of excitation at the next stage and what to validate in a pilot.